Finite Group Databasebeta

← Group #11798564

Character table — Group #11798564

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112224444448888881212121216161616161616242424244811222444444888888121212121616161616161624242424481122244444488888812121212161616161616162424242448
order122362244464661212122244441212121212244483663666121212612661212126612121212121212121261212122436636661212126126612121266121212121212121212612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11-1-1-1-1-1-111-1111111111111111111111-1-11-1-1-1-1-1-111-1111111111111111111111-1-11-1-1-1-1-1-111-1
χ311111111111111111-1-1-1-11111111-1-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-11-1-1-1-111-1-1111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1111111111111111111-1-1-1-1-1-11-1-1-1-111-1-11
χ51111111-1-111-1111-1-111-1-11-1-111-1-1111-1-11111111-1-111-1111-1-111-1-11-1-111-1-1111-1-11111111-1-111-1111-1-111-1-11-1-111-1-1111-1-1
χ61111111-1-111-1111-1-111-1-1-11-1-1-111-1-11-111111111-1-111-1111-1-111-1-1-11-1-1-111-1-11-111111111-1-111-1111-1-111-1-1-11-1-1-111-1-11-11
χ71111111-1-111-1111-1-1-1-1111-1-111-1-1-1-1-1111111111-1-111-1111-1-1-1-1111-1-111-1-1-1-1-1111111111-1-111-1111-1-1-1-1111-1-111-1-1-1-1-111
χ81111111-1-111-1111-1-1-1-111-11-1-1-11111-11-11111111-1-111-1111-1-1-1-111-11-1-1-11111-11-11111111-1-111-1111-1-1-1-111-11-1-1-11111-11-1
χ9222222-200-2202-2-20000220000000000-20222222-200-2202-2-20000220000000000-20222222-200-2202-2-20000220000000000-20
χ10222222-200-2202-2-20000-2-2000000000020222222-200-2202-2-20000-2-2000000000020222222-200-2202-2-20000-2-2000000000020
χ1122222-2200-220-22-2002200000000000-20022222-2200-220-22-2002200000000000-20022222-2200-220-22-2002200000000000-200
χ1222222-2200-220-22-200-2-20000000000020022222-2200-220-22-200-2-20000000000020022222-2200-220-22-200-2-200000000000200
χ1322222-2-22222-2-2-2222000000-200000000022222-2-22222-2-2-2222000000-200000000022222-2-22222-2-2-2222000000-2000000000
χ1422222-2-2-2-2222-2-22-2-2000000200000000022222-2-2-2-2222-2-22-2-2000000200000000022222-2-2-2-2222-2-22-2-20000002000000000
χ15222-1-122222-12-1-1-1-1-1000022-1-1-1-1-100000222-1-122222-12-1-1-1-1-1000022-1-1-1-1-100000222-1-122222-12-1-1-1-1-1000022-1-1-1-1-100000
χ16222-1-122222-12-1-1-1-1-10000-2-2-1111100000222-1-122222-12-1-1-1-1-10000-2-2-1111100000222-1-122222-12-1-1-1-1-10000-2-2-1111100000
χ17222-1-122-2-22-1-2-1-1-11100002-21-1-11100000222-1-122-2-22-1-2-1-1-11100002-21-1-11100000222-1-122-2-22-1-2-1-1-11100002-21-1-11100000
χ18222-1-122-2-22-1-2-1-1-1110000-22111-1-100000222-1-122-2-22-1-2-1-1-1110000-22111-1-100000222-1-122-2-22-1-2-1-1-1110000-22111-1-100000
χ19222-1-1-2-2222-1-211-1-1-100000013−33−300000222-1-1-2-2222-1-211-1-1-100000013−33−300000222-1-1-2-2222-1-211-1-1-100000013−33−300000
χ20222-1-1-2-2222-1-211-1-1-10000001−33−3300000222-1-1-2-2222-1-211-1-1-10000001−33−3300000222-1-1-2-2222-1-211-1-1-10000001−33−3300000
χ21222-1-1-2-2-2-22-1211-111000000-13−3−3300000222-1-1-2-2-2-22-1211-111000000-13−3−3300000222-1-1-2-2-2-22-1211-111000000-13−3−3300000
χ22222-1-1-2-2-2-22-1211-111000000-1−333−300000222-1-1-2-2-2-22-1211-111000000-1−333−300000222-1-1-2-2-2-22-1211-111000000-1−333−300000
χ23444-2-24-400-4-20-222000000000000000000444-2-24-400-4-20-222000000000000000000444-2-24-400-4-20-222000000000000000000
χ24444-2-2-4400-4-202-22000000000000000000444-2-2-4400-4-202-22000000000000000000444-2-2-4400-4-202-22000000000000000000
χ2544-44400000-4000000000000000002-200044-44400000-4000000000000000002-200044-44400000-4000000000000000002-2000
χ2644-44400000-400000000000000000-2200044-44400000-400000000000000000-2200044-44400000-400000000000000000-22000
χ274-404-4002i−2i0000002i−2i2-22i−2i0000000000004-404-4002i−2i0000002i−2i2-22i−2i0000000000004-404-4002i−2i0000002i−2i2-22i−2i000000000000
χ284-404-4002i−2i0000002i−2i-22−2i2i0000000000004-404-4002i−2i0000002i−2i-22−2i2i0000000000004-404-4002i−2i0000002i−2i-22−2i2i000000000000
χ294-404-400−2i2i000000−2i2i2-2−2i2i0000000000004-404-400−2i2i000000−2i2i2-2−2i2i0000000000004-404-400−2i2i000000−2i2i2-2−2i2i000000000000
χ304-404-400−2i2i000000−2i2i-222i−2i0000000000004-404-400−2i2i000000−2i2i-222i−2i0000000000004-404-400−2i2i000000−2i2i-222i−2i000000000000
χ3188-8-4-4000004000000000000000000000088-8-4-4000004000000000000000000000088-8-4-40000040000000000000000000000
χ328-80-44004i−4i000000−2i2i00000000000000008-80-44004i−4i000000−2i2i00000000000000008-80-44004i−4i000000−2i2i0000000000000000
χ338-80-4400−4i4i0000002i−2i00000000000000008-80-4400−4i4i0000002i−2i00000000000000008-80-4400−4i4i0000002i−2i0000000000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ35111111111111111111111-1-11-1-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ3611111111111111111-1-1-1-11111111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ3711111111111111111-1-1-1-1-1-11-1-1-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ381111111-1-111-1111-1-111-1-11-1-111-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ391111111-1-111-1111-1-111-1-1-11-1-1-111-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ401111111-1-111-1111-1-1-1-1111-1-111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ411111111-1-111-1111-1-1-1-111-11-1-1-11111-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ42222222-200-2202-2-20000220000000000-20−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i30−1+i31−i31−i30000−1+i3−1+i300000000001−i30−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i30−1−i31+i31+i30000−1−i3−1−i300000000001+i30
χ43222222-200-2202-2-20000-2-2000000000020−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i30−1+i31−i31−i300001−i31−i30000000000−1+i30−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i30−1−i31+i31+i300001+i31+i30000000000−1−i30
χ4422222-2200-220-22-2002200000000000-200−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i3−1+i301−i3−1+i31−i300−1+i3−1+i3000000000001−i300−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i3−1−i301+i3−1−i31+i300−1−i3−1−i3000000000001+i300
χ4522222-2200-220-22-200-2-200000000000200−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i3−1+i301−i3−1+i31−i3001−i31−i300000000000−1+i300−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i3−1−i301+i3−1−i31+i3001+i31+i300000000000−1−i300
χ4622222-2-22222-2-2-2222000000-2000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i30000001−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i30000001+i3000000000
χ4722222-2-2-2-2222-2-22-2-20000002000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3000000−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3000000−1−i3000000000
χ48222-1-122222-12-1-1-1-1-1000022-1-1-1-1-100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i320000−1+i3−1+i31−i321−i321−i321−i321−i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i320000−1−i3−1−i31+i321+i321+i321+i321+i3200000
χ49222-1-122222-12-1-1-1-1-10000-2-2-1111100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i3200001−i31−i31−i32−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i3200001+i31+i31+i32−1−i32−1−i32−1−i32−1−i3200000
χ50222-1-122-2-22-1-2-1-1-11100002-21-1-11100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3−1+i31−i321−i31−i321−i321−i32−1+i32−1+i320000−1+i31−i3−1+i321−i321−i32−1+i32−1+i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3−1−i31+i321+i31+i321+i321+i32−1−i32−1−i320000−1−i31+i3−1−i321+i321+i32−1−i32−1−i3200000
χ51222-1-122-2-22-1-2-1-1-1110000-22111-1-100000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3−1+i31−i321−i31−i321−i321−i32−1+i32−1+i3200001−i3−1+i3−1+i32−1+i32−1+i321−i321−i3200000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3−1−i31+i321+i31+i321+i321+i32−1−i32−1−i3200001+i3−1−i3−1−i32−1−i32−1−i321+i321+i3200000
χ52222-1-1-2-2222-1-211-1-1-100000013−33−300000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i3−1+i32−1+i321−i321−i321−i32000000−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i3−1−i32−1−i321+i321+i321+i32000000−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000
χ53222-1-1-2-2222-1-211-1-1-10000001−33−3300000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i3−1+i32−1+i321−i321−i321−i32000000−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i3−1−i32−1−i321+i321+i321+i32000000−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000
χ54222-1-1-2-2-2-22-1211-111000000-13−3−3300000−1+i3−1+i3−1+i31−i321−i321−i31−i31−i31−i3−1+i31−i32−1+i3−1+i32−1+i321−i32−1+i32−1+i320000001−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000−1−i3−1−i3−1−i31+i321+i321+i31+i31+i31+i3−1−i31+i32−1−i3−1−i32−1−i321+i32−1−i32−1−i320000001+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000
χ55222-1-1-2-2-2-22-1211-111000000-1−333−300000−1+i3−1+i3−1+i31−i321−i321−i31−i31−i31−i3−1+i31−i32−1+i3−1+i32−1+i321−i32−1+i32−1+i320000001−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000−1−i3−1−i3−1−i31+i321+i321+i31+i31+i31+i3−1−i31+i32−1−i3−1−i32−1−i321+i32−1−i32−1−i320000001+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000
χ56444-2-24-400-4-20-222000000000000000000−2+2i3−2+2i3−2+2i31−i31−i3−2+2i32−2i3002−2i31−i301−i3−1+i3−1+i3000000000000000000−2−2i3−2−2i3−2−2i31+i31+i3−2−2i32+2i3002+2i31+i301+i3−1−i3−1−i3000000000000000000
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χ5844-44400000-4000000000000000002-2000−2+2i3−2+2i32−2i3−2+2i3−2+2i3000002−2i300000000000000000−1+i31−i3000−2−2i3−2−2i32+2i3−2−2i3−2−2i3000002+2i300000000000000000−1−i31+i3000
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χ604-404-4002i−2i0000002i−2i2-22i−2i000000000000−2+2i32−2i30−2+2i32−2i3002ζ7−2ζ70000002ζ7−2ζ7−1+i31−i32ζ7−2ζ7000000000000−2−2i32+2i30−2−2i32+2i3002ζ11−2ζ110000002ζ11−2ζ11−1−i31+i32ζ11−2ζ11000000000000
χ614-404-4002i−2i0000002i−2i-22−2i2i000000000000−2+2i32−2i30−2+2i32−2i3002ζ7−2ζ70000002ζ7−2ζ71−i3−1+i3−2ζ72ζ7000000000000−2−2i32+2i30−2−2i32+2i3002ζ11−2ζ110000002ζ11−2ζ111+i3−1−i3−2ζ112ζ11000000000000
χ624-404-400−2i2i000000−2i2i2-2−2i2i000000000000−2+2i32−2i30−2+2i32−2i300−2ζ72ζ7000000−2ζ72ζ7−1+i31−i3−2ζ72ζ7000000000000−2−2i32+2i30−2−2i32+2i300−2ζ112ζ11000000−2ζ112ζ11−1−i31+i3−2ζ112ζ11000000000000
χ634-404-400−2i2i000000−2i2i-222i−2i000000000000−2+2i32−2i30−2+2i32−2i300−2ζ72ζ7000000−2ζ72ζ71−i3−1+i32ζ7−2ζ7000000000000−2−2i32+2i30−2−2i32+2i300−2ζ112ζ11000000−2ζ112ζ111+i3−1−i32ζ11−2ζ11000000000000
χ6488-8-4-40000040000000000000000000000−4+4i3−4+4i34−4i32−2i32−2i300000−2+2i30000000000000000000000−4−4i3−4−4i34+4i32+2i32+2i300000−2−2i30000000000000000000000
χ658-80-44004i−4i000000−2i2i0000000000000000−4+4i34−4i302−2i3−2+2i3004ζ7−4ζ7000000−2ζ72ζ70000000000000000−4−4i34+4i302+2i3−2−2i3004ζ11−4ζ11000000−2ζ112ζ110000000000000000
χ668-80-4400−4i4i0000002i−2i0000000000000000−4+4i34−4i302−2i3−2+2i300−4ζ74ζ70000002ζ7−2ζ70000000000000000−4−4i34+4i302+2i3−2−2i300−4ζ114ζ110000002ζ11−2ζ110000000000000000
χ67111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ68111111111111111111111-1-11-1-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ6911111111111111111-1-1-1-11111111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ7011111111111111111-1-1-1-1-1-11-1-1-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ711111111-1-111-1111-1-111-1-11-1-111-1-1111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ721111111-1-111-1111-1-111-1-1-11-1-1-111-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ731111111-1-111-1111-1-1-1-1111-1-111-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ741111111-1-111-1111-1-1-1-111-11-1-1-11111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ75222222-200-2202-2-20000220000000000-20−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i30−1−i31+i31+i30000−1−i3−1−i300000000001+i30−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i30−1+i31−i31−i30000−1+i3−1+i300000000001−i30
χ76222222-200-2202-2-20000-2-2000000000020−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i30−1−i31+i31+i300001+i31+i30000000000−1−i30−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i30−1+i31−i31−i300001−i31−i30000000000−1+i30
χ7722222-2200-220-22-2002200000000000-200−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i3−1−i301+i3−1−i31+i300−1−i3−1−i3000000000001+i300−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i3−1+i301−i3−1+i31−i300−1+i3−1+i3000000000001−i300
χ7822222-2200-220-22-200-2-200000000000200−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i3−1−i301+i3−1−i31+i3001+i31+i300000000000−1−i300−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i3−1+i301−i3−1+i31−i3001−i31−i300000000000−1+i300
χ7922222-2-22222-2-2-2222000000-2000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i30000001+i3000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i30000001−i3000000000
χ8022222-2-2-2-2222-2-22-2-20000002000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3000000−1−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3000000−1+i3000000000
χ81222-1-122222-12-1-1-1-1-1000022-1-1-1-1-100000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i320000−1−i3−1−i31+i321+i321+i321+i321+i3200000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i320000−1+i3−1+i31−i321−i321−i321−i321−i3200000
χ82222-1-122222-12-1-1-1-1-10000-2-2-1111100000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i3200001+i31+i31+i32−1−i32−1−i32−1−i32−1−i3200000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i3200001−i31−i31−i32−1+i32−1+i32−1+i32−1+i3200000
χ83222-1-122-2-22-1-2-1-1-11100002-21-1-11100000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3−1−i31+i321+i31+i321+i321+i32−1−i32−1−i320000−1−i31+i3−1−i321+i321+i32−1−i32−1−i3200000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3−1+i31−i321−i31−i321−i321−i32−1+i32−1+i320000−1+i31−i3−1+i321−i321−i32−1+i32−1+i3200000
χ84222-1-122-2-22-1-2-1-1-1110000-22111-1-100000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3−1−i31+i321+i31+i321+i321+i32−1−i32−1−i3200001+i3−1−i3−1−i32−1−i32−1−i321+i321+i3200000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3−1+i31−i321−i31−i321−i321−i32−1+i32−1+i3200001−i3−1+i3−1+i32−1+i32−1+i321−i321−i3200000
χ85222-1-1-2-2222-1-211-1-1-100000013−33−300000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i3−1−i32−1−i321+i321+i321+i32000000−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i3−1+i32−1+i321−i321−i321−i32000000−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ86222-1-1-2-2222-1-211-1-1-10000001−33−3300000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i3−1−i32−1−i321+i321+i321+i32000000−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i3−1+i32−1+i321−i321−i321−i32000000−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ87222-1-1-2-2-2-22-1211-111000000-13−3−3300000−1−i3−1−i3−1−i31+i321+i321+i31+i31+i31+i3−1−i31+i32−1−i3−1−i32−1−i321+i32−1−i32−1−i320000001+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000−1+i3−1+i3−1+i31−i321−i321−i31−i31−i31−i3−1+i31−i32−1+i3−1+i32−1+i321−i32−1+i32−1+i320000001−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ88222-1-1-2-2-2-22-1211-111000000-1−333−300000−1−i3−1−i3−1−i31+i321+i321+i31+i31+i31+i3−1−i31+i32−1−i3−1−i32−1−i321+i32−1−i32−1−i320000001+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000−1+i3−1+i3−1+i31−i321−i321−i31−i31−i31−i3−1+i31−i32−1+i3−1+i32−1+i321−i32−1+i32−1+i320000001−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ89444-2-24-400-4-20-222000000000000000000−2−2i3−2−2i3−2−2i31+i31+i3−2−2i32+2i3002+2i31+i301+i3−1−i3−1−i3000000000000000000−2+2i3−2+2i3−2+2i31−i31−i3−2+2i32−2i3002−2i31−i301−i3−1+i3−1+i3000000000000000000
χ90444-2-2-4400-4-202-22000000000000000000−2−2i3−2−2i3−2−2i31+i31+i32+2i3−2−2i3002+2i31+i30−1−i31+i3−1−i3000000000000000000−2+2i3−2+2i3−2+2i31−i31−i32−2i3−2+2i3002−2i31−i30−1+i31−i3−1+i3000000000000000000
χ9144-44400000-4000000000000000002-2000−2−2i3−2−2i32+2i3−2−2i3−2−2i3000002+2i300000000000000000−1−i31+i3000−2+2i3−2+2i32−2i3−2+2i3−2+2i3000002−2i300000000000000000−1+i31−i3000
χ9244-44400000-400000000000000000-22000−2−2i3−2−2i32+2i3−2−2i3−2−2i3000002+2i3000000000000000001+i3−1−i3000−2+2i3−2+2i32−2i3−2+2i3−2+2i3000002−2i3000000000000000001−i3−1+i3000
χ934-404-4002i−2i0000002i−2i2-22i−2i000000000000−2−2i32+2i30−2−2i32+2i3002ζ11−2ζ110000002ζ11−2ζ11−1−i31+i32ζ11−2ζ11000000000000−2+2i32−2i30−2+2i32−2i3002ζ7−2ζ70000002ζ7−2ζ7−1+i31−i32ζ7−2ζ7000000000000
χ944-404-4002i−2i0000002i−2i-22−2i2i000000000000−2−2i32+2i30−2−2i32+2i3002ζ11−2ζ110000002ζ11−2ζ111+i3−1−i3−2ζ112ζ11000000000000−2+2i32−2i30−2+2i32−2i3002ζ7−2ζ70000002ζ7−2ζ71−i3−1+i3−2ζ72ζ7000000000000
χ954-404-400−2i2i000000−2i2i2-2−2i2i000000000000−2−2i32+2i30−2−2i32+2i300−2ζ112ζ11000000−2ζ112ζ11−1−i31+i3−2ζ112ζ11000000000000−2+2i32−2i30−2+2i32−2i300−2ζ72ζ7000000−2ζ72ζ7−1+i31−i3−2ζ72ζ7000000000000
χ964-404-400−2i2i000000−2i2i-222i−2i000000000000−2−2i32+2i30−2−2i32+2i300−2ζ112ζ11000000−2ζ112ζ111+i3−1−i32ζ11−2ζ11000000000000−2+2i32−2i30−2+2i32−2i300−2ζ72ζ7000000−2ζ72ζ71−i3−1+i32ζ7−2ζ7000000000000
χ9788-8-4-40000040000000000000000000000−4−4i3−4−4i34+4i32+2i32+2i300000−2−2i30000000000000000000000−4+4i3−4+4i34−4i32−2i32−2i300000−2+2i30000000000000000000000
χ988-80-44004i−4i000000−2i2i0000000000000000−4−4i34+4i302+2i3−2−2i3004ζ11−4ζ11000000−2ζ112ζ110000000000000000−4+4i34−4i302−2i3−2+2i3004ζ7−4ζ7000000−2ζ72ζ70000000000000000
χ998-80-4400−4i4i0000002i−2i0000000000000000−4−4i34+4i302+2i3−2−2i300−4ζ114ζ110000002ζ11−2ζ110000000000000000−4+4i34−4i302−2i3−2+2i300−4ζ74ζ70000002ζ7−2ζ70000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.